Question

Find all the values of x, between 0 and 360 which satisfy the equation 3 sin x= 2 + 1/sin x

Answer 1

6cos^2x+5sinx=2
6(1-sin^2x)+5sinx-2=0
6-6sin^2x+5sinx-2=0
-6sin^2x+5sinx+4=0
6sin^2x-5sinx-4=0
solve by factoring this quadratic equation
(3sinx-4)(2sinx+1)=0
3sinx-4=0
3sinx=4
sinx=4/3 (reject,sinx<=1)

Answer 2

The sin and x are suppose to be separated sawry bout that

Answer 3

it's fine.. thank u

Answer 4

Ok good